On the Behavior of Folded Tape-Springs

[+] Author and Article Information
K. A. Seffen

Department of Mechanical Engineering, University of Manchester Institute of Science and Technology, Sackville Street, Manchester M60 1QD, UKe-mail: keith.seffen@umist.ac.uk

J. Appl. Mech 68(3), 369-375 (Dec 06, 2000) (7 pages) doi:10.1115/1.1365153 History: Received October 18, 2000; Revised December 06, 2000
Copyright © 2001 by ASME
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Tape spring definitions: (a) undeformed geometry; (b) deformation with a single fold under end-wise couples C. The section view is end-on and the direction of bending is in the opposite sense to the transverse curvature.
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Performance of fold under end loads: (a) end force applied to built-in tape-spring and the fold freely moves; (b) symmetric end loading and a folded tape-spring and the fold does not move
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Finite element model and deformation response: (a) original mesh and initial bending to form an opposite-sense fold; (b) tape-spring before and after compression by end forces with fixed end rotation
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Comparison of behavior for end-wise compression: (a) ratio of the bending strain energy to stretching strain energy in tape-spring during end-wise compression; (b) variation in longitudinal curvature along a compressed tape-spring: solid, constant bending moment M*; dashed, compression under P
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Definition of parameters associated with deformation of a tape-spring
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Comparison of behavior for end-wise compression: (a) force-displacement response of a bent tape-spring with geometry in Table 1. The continuous line is the finite element analysis result and the squares denote the theoretical prediction. (b) Variation in longitudinal curvature change, κl=1/r, within the fold for P=0N (solid), P=1.266N (dashed), and P=7.020N (dashed-dot). FEA given by thick lines, theory as symbols and thin lines.
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Comparison of behavior between end loads and maximum longitudinal radius curvature: (a) Variation in end couple with applied force: FEA (solid); theory (squares). Geometry as in Table 1. (b) Variation in longitudinal curvature at the fold mid-point, κl,A with end force P. Line-style as in part (a).
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Comparison of behavior of repelling end-wise forces: (a) Variation in force P with end displacement δ: FEA given by continuous line; theoretical prediction is squares. Geometry as in Table 1. (b) Behavior of longitudinal radius of curvature for P=0N (solid), P=−1.318N (dashed), and P=−2.644N (dashed-dot). FEA is thick lines, theory is thin lines and symbols.



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